What was already known
Kenyon’s dimer-height convergence to the Gaussian free field supported the CLE₄ prediction but did not itself establish convergence of loop curves and their nesting.
AI involvement
OpenAI credits itself as manuscript author and states that its internal frontier model produced the results in this release. Individual human input is not detailed enough to establish task-only autonomy.
OpenAI is named as author on the manuscript, and its release attributes the results to an internal frontier model. The individual human input is not detailed enough to establish autonomy.
Importance
Resolves the half-plane Temperleyan double-dimer CLE₄ scaling-limit conjecture at the level of complete curves.
Limitations
The result is for the specified half-plane Temperleyan square-lattice model, not every double-dimer boundary condition or planar graph. No completed proof check was documented in the available sources.
Technical verification
Reported is the default when evidence for a higher level is insufficient. The OpenAI-authored manuscript reports and argues the result, but the reviewed sources do not document a completed check of the full assessed claim.
Human understanding
Few is the default when evidence for a higher level is insufficient. No named person is documented as explaining the central argument for this assessed contribution.
Correction and publication history
Primary manuscript, attribution, and prior-work review for non-notifying local inclusion; technical check remains undocumented.
Read this published revision